First Daughter (2004)
Ca. 14 min. into the film there are several scenes with people walking incredibly fast through the corridors of the White House while talking incredibly fast, just like they do on the older series.

The Office: Viewing Party (2010)
(TV Episode)
The scene following the cold open mimics The West Wing's trademark "walk-and-talk" format and rapid-fire dialogue, while Michael imitates the gruff mannerisms of John Spencer's Leo McGarry.

Parks and Recreation: Live Ammo (2012)
(TV Episode)
Councilman Pillner (played by Bradley Whitford) says of city council, "We play with live ammo around here." Rob Lowe delivered this same line, in a similar context, on The West Wing.

Psych: Santa Barbarian Candidate (2013)
(TV Episode)
Gus says "I could have made it all the way to the White House." Shawn responds, "Yeah, maybe as an aide." In the same conversation Shawn says, "Sorry, Charlie." These are a reference to Dulé Hill's role as presidential aide Charlie Young on The West Wing. Later conversation references Rob Lowe who also starred on The West Wing.

Psych: A Nightmare on State Street (2014)
(TV Episode)
When Gus is in his mother's home, and walks into the dining room, he looks at a framed photo on the sideboard and says "Dad??" The photo is of Martin Sheen, who played President Bartlet in The West Wing, a father figure to Dule Hill's character Charlie Young.

Gruen Planet: Gruen Nation 1 (2013)
(TV Episode)
A still of the President bathed in light while on a plane is shown when Wil Anderson talks about the image being borrowed for a shot of Tony Abbott in a Liberal Party commercial in the You're Soaking In It segment.